Question

-1/2x + 6 < 4x - 3
i need to find the value of X with step-by-step explanation

Answer 1

Answer:

x > 2

Step-by-step explanation:

-1/2x + 6 < 4x - 3

Start by adding 1/2x to both sides to get both x's on the same side

6 < 4 1/2x - 3

Add 3 to both sides to keep the x's by themselves on one side

9 < 4 1/2x

Divide both sides by 4 1/2 to get x by itself

2 < x  so x > 2

Answer 2

Answer:

$\boxed{\boxed{\tt x>2}}$

Step-by-step explanation:

$\tt -\cfrac{1}{2}x+6<4x-3$

Subtract 6 from both sides:

• $\tt -\cfrac{1}{2}x+6-6<4x-3-6$

• $\tt -\cfrac{1}{2}x<4x-9$

Now, subtract 4x from both sides:

• $\tt -\cfrac{1}{2}x-4x<4x-9-4x$

• $\tt -\cfrac{9}{2}x<-9$

Multiply both sides by -1:

• $\tt -\cfrac{9}{2}x\times -1<-9\times -1$

• $\tt \cfrac{9}{2}x>9$

Multiply both sides by 2:

• $\tt 2\times \cfrac{9}{2}x>9\times \:2$

• $\tt 9x>18$

Divide both sides by 9:

• $\tt \cfrac{9x}{9}>\cfrac{18}{9}$

• $\tt x>2$

____________________________